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Finding the Fourth Proportional to 3,073.34, 4,241.16 and 1,676.09

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Solution

The fourth proportional to 3,073.34, 4,241.16 and 1,676.09 is: 2,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.34 : 4,241.16 = 1,676.09 : x
  2. Step 2: Convert to fraction form
    3,073.34/4,241.16 = 1,676.09/x
  3. Step 3: Cross multiply
    3,073.34x = 4,241.16 × 1,676.09
  4. Step 4: Simplify right side
    3,073.34x = 7,108,544.66
  5. Step 5: Solve for x
    x = 7,108,544.66/3,073.34
  6. Step 6: Final answer
    x = 2,312.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.